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In the moment of inertia experiment, a student measured the angular acceleration of a rotating rod using the rotary-pulley system. The angular acceleration was 5 rad/s?, the hanging mass was 112.9 g, and the pulley radius was 53.9 mm. Calculate the experimental value of the rod moment of inertia. Remember to convert to Sl units. (g = 9.80 m/s²)

A bicycle has a pedal gear ( front gear) with a 9 inch diameter.  The rear gear has a 3 inch diameter, and a wheel with a 32 inch diameter.  If I can pedal at 52 rpm ( rotations per minute)  How fast am I going in miles per hour?

An adapted golf device attaches to a wheelchair to help people with mobility impairments play putt-putt. The stationary frame OD is attached to the wheelchair, and a club holder OB is attached to the pin at O. Holder OB is 6 in. long and weighs 8 oz, and the distance between O and D is x = 1 ft. The putter shaft has a length of L = 36 in. and weighs 10 oz, while the putter head at A weighs 12 oz. Knowing that the 1-lb/in. spring between D and B is unstretched when 0 = 90° and that the putter is released from rest at 0 = 0, determine the putter head speed when it hits the golf ball.

A set of reducing gears is used to raise the box as shown below. Pulleys B and C are welded together. B A The diameters of Pulleys A, B and C are 58 cm, 74 cm and 18 cm, respectively. The belt connecting Pulleys A and B has a length of 535 cm. Suppose that Pulley A is rotating at 0.91 revolutions per second. Answer the following, round your answers to at least 3 significant figures and include units. a. How much time does it take the belt to make one revolution if the belt is 535 cm long? b. How much time does it take Pulley B to make one revolution? c. How fast is the box ascending, i.e. what is the vertical speed of the box?

A cord is wrapped around the outer surface of the 5-kg disk. A force of F=(0) N. where is in radians, is applied to the cord. The disk has an initial angular velocity of un-1 rad/s (Eigure 1) Figure 1 of 1 @ F 300 mm A Part A Determine the disk's angular acceleration when it has turned 5 revolutions. Express your answer using three significant figures. Enter positive value if the angular acceleration is counterclockwise and negative value if the angular acceleration is clockwise. 195| ΑΣΦ. 11 vec ? 205.53 Submit Previous Answers Request Answer x Incorrect; Try Again; 3 attempts remaining Provide Feedback rad/² Next >

As shown on Figure below, Atwood's Machine consists of two masses, m, and m2, i.e., m, > m, suspended from a pulley that is attached to the ceiling. The sizes of the blocks are ignored in all cases. The pulley is a thin disk of mass M and radius R. Do NOT ignore the motion of the pulley in this problem. The tension T, is in the rope pulling on mass m, and the tension T; is in the rope pulling on mass m2. a) Using the Newton's second law, write expressions M for the two masses and the pulley. You can use the R unknown tensions T, and Tz in your expression. Be sure to explicitly indicate your chosen coordinate T2 axes in all cases. b) Mass m, starts from rest a distance h above the m2 floor. Find a, the linear acceleration of the blocks. (Hint: the angular acceleration of the pulley determines how fast the blocks move.) c) At what speed does m, hit the floor? d) What is the rotational speed of the pulley just as m, hits the floor? mi

A cooling fan is turned off when it is running at 3071 rev/min. It turns 1291 revolutions before it comes to a full stop. What is the fan's angular acceleration, assumed constant? Express your answer in units of rad/s² using one decimal place. Take the initial angular velocity positive (+) and please use the correct sign for the acceleration. Answer:

Please help me answer this correctly. Please write the solution on paper. Thank you.    Note: The tolerance is  ± 1 in the third significant digit.

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A wheel of radius 7 inches is rotating 15°/s. What is the linear speed of the wheel? Give your answer to 3 decimal places. in/s What is the angular speed in RPM? RPM What is the angular speed in rad/s? T rad/s

A cooling fan is turned off when it is running at 930 rev/min. It turns 1,500 revolutions before it comes to a stop. What was the fan's angular acceleration, assumed constant? Express your answer using three significant figures. a=______rads/s^2   Part B How long did it take the fan to come to a complete stop? Express your answer to three significant figures and include the appropriate units. t=_______

Member AB has the angular velocity WAB = 4.5 rad/s and angular acceleration a AB = 6 rad/s². (Figure 1) Figure A 200 mm 300 mm @AB a AB B 500 mm 0= 60° 1 of 1 Determine the angular acceleration of member CD at the instant shown measured counterclockwise. Express your answer using three significant figures. Enter positive value if the angular acceleration is counterclockwise and negative value if the angular acceleration is clockwise. aCD = Submit vec Π ΑΣΦ ↓↑ 325 Previous Answers Request Answer X Incorrect; Try Again < Return to Assignment Review Provide Feedback ? rad/s²

A disc rotates at 90 rpm (revolutions per minute).What is the angular speed (in rad/s)?

Baby Huey rolls a rubber ball (a hollow sphere) of mass M and radius R up a hillside, giving it an initial kinetic energy of Ki.  It rolls over the top of the hill of height h and keeps going.  The ball rolls without slipping. a) Do a good, well labeled diagram for this. b) Find the general formula for the total kinetic enerty Ktot of the ball when it has a translational velocity v.  Write your answer in terms of M, R, and v only.  Assume it rolls without slipping. c) Given the height of the hill is h=1.45m ,Ki = 27J, R = 0.243 m, and M = 0.9 kg, find the total kinetic energy Kf at the top of the hill. d) Find the translational velocity vf at the top of  the hill. c) Find the rotational velocity wf at the top of the hill.

The angular velocity of an object as it rotates about a fixed axis is represented by the straight line on the graph of angular velocity versus time that is shown here. 1. In radians per squared second, what is the angular acceleration? α(in rad/s^2)= 2. What is the angular displacement, in radians, between t=0.0st=0.0s and t=8.6st=8.6s? Δθ(in rad)=

Two bugs, Buzz and Crunchy, are siting on a spinning disk. The disk of radius 7.5 m spins with an angular speed of 90 degrees/second. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. What is the speed of Buzz, in m/s? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

I need help with this problem and an explanation for the solution described below. (University Physics 1: Vectors)

Sadie rollerbladed for 15 minutes. She put a device on one of the wheels that determined that the wheel rotated 10800 times during the 15 minute ride. If the diameter of the wheel is 7.6 cm, find a) the distance traveled in metres (to 3 decimal places) b) the angular velocity of the wheel in rads per second (to 3 decimal places)

A wheel with a 21 inch diameter is turning at a rate of 44 revolutions per minute. To the nearest inch, what is the speed of a point on the rim in in./min?

The question c please

Imagine a 90° arc (1/4 of a circle). The radius of the circle is 40 meters. If a car is driving around the circumference of the arc at 21 mph, what is the car's angular velocity in rad/sec? Hint: Convert mph to m/s first. Answer to 3 sig figs.

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A wheel of radius 10 inches is rotating 0.6 rad/s. What is the linear speed v, the angular speed in RPM, and the angular speed in deg/s? (Round your answers to four decimal places.) linear speed       in/s angular speed       RPM angular speed       deg/s

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A. Five ropes in a pulley system support a large weight, W. What is the magnitude of the weight if the Tension in Rope #1 equals 100 N? The weight is in equilibrium.  B. A pulling force of 600 N is being applied to that bracket at point A. Compute the magnitude of the moment about the origin, O. Be sure to also indicate whether the sign of the moment is positive or negative.  C. Compute the unit vector, for the Resultant force in Problem #2. Fill in the blanks: ?= _________ + __________ + ___________????

Please answer the question correctly

A particle starts from rest and moves around a fixed point with a constant acceleration of 2 rad.s-2. a. Find its angular velocity after 2 s. b. Find the angular displacement and the number of revolutions it makes after 5 s. 2. A wheel rotates at 1200 rpm. How many radians per second is that? Hint: Select the appropriate equations. Use the formulas in slide # 9. Since the motion starts from rest wo= 0 and 0 = 0.

In the figure, the signs are correctly given as: W T O sign? sign? sign? ✓ Large wheel (big circle), bearing (grey) and axle (black). The solid arrows represent friction forces. The open arrow shows the direction of rotation (CW). Suppose the big wheel we use in this lab has a radius of 25 cm. If the hanging block drops 60 cm, what is the magnitude of the angular displacement of the big wheel? rad